In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting
spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The …

We introduce Bézier projection as an element-based local projection methodology for B-
splines, NURBS, and T-splines. This new approach relies on the concept of Bézier …

We introduce locally refined (LR) Tchebycheffian B-splines as a generalization of LR B-
splines from the algebraic polynomial setting to the broad Tchebycheffian setting. We focus …

We introduce isogeometric collocation methods based on generalized B-splines and we
analyze their performance through numerical examples for univariate and multivariate scalar …

Background: Curved modeling technology originated from the geometric lofting and design
of aircrafts, automobiles and ships. The control points of the traditional B-spline mesh should …

Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided
design and engineering, which has been widely applied in various aspects of computational …

Univariate generalized splines are smooth piecewise functions with sections in certain
extended Tchebycheff spaces. They are a natural extension of univariate (algebraic) …

This chapter provides a review of analysis‐suitable geometric descriptions and approaches
commonly used in the context of isogeometric analysis (IGA). A primary focus is on NURBS …

A class of cubic trigonometric interpolation spline curves with two parameters is presented in
this paper. The spline curves can automatically interpolate the given data points and …

In this paper, we survey the use of generalized B-splines in isogeometric Galerkin and
collocation methods. Generalized B-splines are a special class of Tchebycheffian B-splines …